Why do you think you need to increase your weight?Why does it have to be in just a month?

Crash diets, in either direction, are NEVER healthy.

If you're serious about this, I would strongly suggest asking a doctor or physical therapist rather than random strangers on the Internet. They'll be able to tell you whether your goal is reasonable or if you're going to hurt yourself. Free medical advice -- and this is a medical question! -- is not worth what you paid for it.